The generator matrix

 1  0  0  1  1  1  X  1  1  0  0  X  1  1  1  0  1  1  1  0  X  X  1  1  1  1  1  X  0  1  X  X  0  X  1  0  1  1  1  X  1  1  1  X  1  1  1  1  1  0  1  1  1  1  X
 0  1  0  0  1  1  1  0  X  X  1  1  1 X+1  0  1  1  X  1  1  0  1  X  1  X X+1 X+1  1  0  1  1  1  1  1 X+1  1  1  1 X+1  1  0  0 X+1  X  0  X  X  1 X+1  X  1  0  X  1  1
 0  0  1  1  1  0  1  X X+1  1  0  1 X+1  X  0 X+1 X+1  1  X  X  1  1  1  X  1  0 X+1  X  1 X+1 X+1 X+1  1  1  1  1  1  1  1  0  1  1 X+1  1 X+1 X+1  0  X  0  1  1  0  0 X+1  X
 0  0  0  X  0  0  0  0  0  0  0  0  X  X  X  X  0  0  0  X  0  X  X  X  X  X  X  0  X  X  X  X  0  X  X  0  0  0  0  X  X  X  X  0  0  X  0  X  0  X  X  0  X  0  X
 0  0  0  0  X  0  0  X  X  X  X  X  X  X  X  0  X  0  0  0  0  X  X  X  0  0  X  X  X  0  X  X  X  0  0  0  0  X  0  X  X  0  0  0  0  X  X  0  X  X  X  X  X  0  0
 0  0  0  0  0  X  0  0  0  X  X  X  X  X  X  X  X  0  0  0  X  0  0  0  X  X  0  0  X  X  X  0  0  0  0  X  0  X  X  X  X  X  X  X  X  X  X  X  0  0  X  X  0  X  X

generates a code of length 55 over Z2[X]/(X^2) who´s minimum homogenous weight is 50.

Homogenous weight enumerator: w(x)=1x^0+99x^50+131x^52+67x^54+52x^56+59x^58+41x^60+23x^62+22x^64+6x^66+8x^68+2x^70+1x^72

The gray image is a linear code over GF(2) with n=110, k=9 and d=50.
This code was found by Heurico 1.16 in 0.078 seconds.